The Faculty of Mathematics and Natural Sciences: Search
Now showing items 241-250 of 267
Synthesis and reactions of Janus-type bis(NHCs), tuned by phosphorus bridges
Due to our first attempts to synthesize P-functional bis(NHCs), we were aware of a problem if bis(thiones) were used. Therefore, the idea emerged to use bis(selones) instead. Herein, the synthesis of the first tricyclic ...
Talentierte symbiontische Naturstoffproduzenten als Quelle neuer Wirkstoffe
Zunehmende Resistenzen und gleichzeitig sinkende Zahlen neu zugelassener Antibiotika lassen den Bedarf an neuen antibiotischen Wirkstoffen steigen. Aber auch in anderen medizinischen Bereichen wie z. B. der Onkologie ist ...
A humanized zebrafish screening platform to identify GPR17 inhibitors for the treatment of multiple sclerosis
Multiple sclerosis (MS), a demyelinating disease of the central nervous system (CNS) with dev-astating symptoms, is characterized by the progressive destruction of myelin and myelinating oligodendrocytes (Ol). Currently, ...
Metabarcoding Invertebrate Communities in a Natural Park: From Methods to Diversity Patterns
Biodiversity is worldwide suffering from a dramatic decline, whose underlying causes are still fairly unknown. The scientific investigation and identification of potential drivers of biodiversity loss are strongly hampered ...
Non-Markovian Dynamics of Open Bose-Einstein Condensates
Quantum many-body systems coupling photonic and matter degrees of freedom are ideal for the realization of driven open quantum dynamics at the intersection of quantum optics and condensed matter. They offer the possibility ...
Bedrohung durch Identitätsdatendiebstahl: Datenerhebung, Analyse und Mitigation
Immer häufiger werden in großem Stil Identitätsdaten gestohlen, die anschließend für kriminelle Aktivitäten missbraucht werden. Es existiert jedoch kein Ansatz, um eine breite Masse an betroffenen Personen automatisiert ...
The Role of NMDA Receptor Co-Agonists in Dendritic Integration
(noch nicht zugänglich / not yet accessible)
Mapping the immune landscape in the alveolar space reveals alterations of multiple macrophage states in chronic obstructive pulmonary disease
Chronic obstructive pulmonary disease (COPD) is ranked among the three leading causes of death worldwide and hence constitutes a significant burden, both medically and financially. The disease is characterized by a poorly ...
Extremes of the discrete Gaussian free field in dimension two
In recent years, there have been many advances towards an understanding of the extreme value theory of log-correlated random fields. Log-correlated random fields are conjectured to compose a universality class for the extremal values of strongly correlated fields. In the general context of extreme value statistics there are two natural basic questions to answer. Akin to the central limit theorem one may ask: Is there a deterministic recentring and rescaling such that the maximum value of the sequence converges to a non-trivial limit? <br/> And second, if such a recentring and rescaling exists, how does the process look like when recentring and rescaling each random variable as done for the maximum value? <br/> Both questions were answered in the context of independent identically distributed random variables during the first half of the past century. The theory developed in this context is commonly referred to as classical extreme value theory. We state the main results in the general case of independent identically distributed random variables and then turn to the case of Gaussian distributions. <br/> To analyze the extreme value statistics of correlated models, it is natural to start with simple models that capture the essential details, which in our case are the hierarchical ones. We start with a rather classical model, the generalized random energy model (GREM), which can be realized as a branching random walk with Gaussian increments, and then discuss (variable-speed) branching Brownian motion (BBM), a model that has attracted a lot of interest in the last decade. <br/> An important example of a log-correlated Gaussian random field is the two-dimensional discrete Gaussian free field (2d DGFF). It is a natural object of major interest both in mathematics and physics. Its extremal values have been investigated in the last 20 years. <br/> We then introduce the model we studied, which is a generalization of the 2d DGFF, the so-called scale-inhomogeneous two-dimensional discrete Gaussian free field. Similarly to variable-speed BBM in the context of BBM, it allows for a richer class of correlation structures. It turns out that it is possible to classify its extremal values into three possible cases, one being the two-dimensional discrete Gaussian free field. In this thesis, we present our contributions in the study of the extremal values of the scale-inhomogeneous 2d DGFF. In any of the three possible cases and when there are only finitely many scales we determine the sub-leading order correction to the maximum value and prove tightness of the centred maximum. Moreover, in the case of weak correlations we provide a complete characterization of the extreme value theory of the scale-inhomogeneous 2d DGFF....
Mechanism-based Stratification of Alzheimer's and Parkinson's Disease using Artificial Intelligence
The capacity to generate omics and clinical data in biomedical science is growing exponentially over the past decades. Additionally, recent advances in computational power and analyzing capabilities have resulted in ...